In this session, I will give an introduction to Bioconductor and how to perform single-cell analysis using Bioconductor packages. This session introduces the concept of “object-oriented” programming - or at least how to understand it in R. We will use the SingleCellExperiment class object as an example - however the skills learned in this session can be easily applied to other high-dimensional data analysis tasks. The SingleCellExperiment class is a so called S4 class object and the prefered object type in Bioconductor. Check out https://adv-r.hadley.nz/oo.html for in depth explanations on opbject-oriented programming in R.

Why do we want to use the SingleCellExperiment object?

Bioconductor

Bioconductor provides tools for the analysis and comprehension of high-throughput genomic data. Bioconductor uses the R statistical programming language, and is open source and open development. It has two releases each year, and an active user community.

Check out the https://bioconductor.org/ website.

Bioconductor version 3.10 offers 1823 software packages, 957 Annotation packages, 385 ExperimentData packages and 27 Workflows.

Bioconductor packages can be conveniently installed using BiocManager:

#install.packages("BiocManager")
#BiocManager::install("SingleCellExperiment")

# Should be '3.10'
BiocManager::version()
[1] ‘3.10’
# Should be true
BiocManager::valid()
Registered S3 method overwritten by 'dplyr':
  method           from
  print.rowwise_df     
[1] TRUE

I prefer using the BiocManager::install since it checks if there are outdated packages - important to include bug fixes. The BiocManager::install function also allows you to install CRAN and Github packages.

#BiocManager::install("igraph")
#BiocManager::install("BodenmillerGroup/Rphenograph")

Bioconductor packages are released twice a year - once in April/May, once in October. Unless you are developing Bioconductor packages, you won’t need to use Bioconductor devel. But here are more information: Bioc devel

The SingleCellExperiment class

Here, I will use the SingleCellExperiment class object as an example for object-oriented data analysis in R. Other widely used objects are SummarizedExperiment containers, from which the SingleCellExperiment class inherits.

To work with the object, I will mostly follow the Orchestrating Single-Cell Analysis with Bioconductor workflow, an excellent resource to do single-cell data analysis in R using Bioconductor.

Of note: The workflow was written for single-cell RNA sequencing data and some concepts (e.g. normalization) do not apply to CyTOF data analysis.

Here, we will start with the data analysis infrastructure section of the OSCA workflow.

Read in data

We will first read in the data that we want to analyse. For convenience, I stored the raw expression counts (mean pixel intensity per cell) in one .csv file, the marker-specific metadata in one .csv file and the cell-specific metadata in one .csv file.

# Read in counts
pancreas_counts <- read.csv("~/Github/IntroDataAnalysis/Data/pancreas_counts.csv", 
                            stringsAsFactors = FALSE, row.names = 1)
head(pancreas_counts)
dim(pancreas_counts)
[1] 12274    38
# Read in cell metadata
cell_meta <- read.csv("~/Github/IntroDataAnalysis/Data/pancreas_cellmeta.csv", 
                      stringsAsFactors = FALSE, row.names = 1)
head(cell_meta)

# Read in marker metadata
marker_meta <- read.csv("~/Github/IntroDataAnalysis/Data/pancreas_markermeta.csv", 
                      stringsAsFactors = FALSE, row.names = 1)
head(marker_meta)

In most cases, it is safe to compare the order of rows and columns:

identical(rownames(pancreas_counts), rownames(cell_meta))
[1] TRUE
identical(colnames(pancreas_counts), rownames(marker_meta))
[1] FALSE
# Check why the colnames and rownames don't match
colnames(pancreas_counts)
 [1] "H3"     "SMA"    "INS"    "CD38"   "CD44"   "PCSK2"  "CD99"   "CD68"   "MPO"    "SLC2A1" "CD20"   "AMY2A"  "CD3e"   "PPY"   
[15] "PIN"    "PD.1"   "GCG"    "PDX1"   "SST"    "SYP"    "KRT19"  "CD45"   "FOXP3"  "CD45RA" "CD8a"   "CA9"    "IAPP"   "KI.67" 
[29] "NKX6.1" "pH3"    "CD4"    "CD31"   "CDH"    "PTPRN"  "pRB"    "cPARP1" "Ir191"  "Ir193" 
rownames(marker_meta)
 [1] "H3"     "SMA"    "INS"    "CD38"   "CD44"   "PCSK2"  "CD99"   "CD68"   "MPO"    "SLC2A1" "CD20"   "AMY2A"  "CD3e"   "PPY"   
[15] "PIN"    "PD-1"   "GCG"    "PDX1"   "SST"    "SYP"    "KRT19"  "CD45"   "FOXP3"  "CD45RA" "CD8a"   "CA9"    "IAPP"   "KI-67" 
[29] "NKX6-1" "pH3"    "CD4"    "CD31"   "CDH"    "PTPRN"  "pRB"    "cPARP1" "Ir191"  "Ir193" 
# Fix colnames
colnames(pancreas_counts) <- gsub("\\.", "-", colnames(pancreas_counts))
identical(colnames(pancreas_counts), rownames(marker_meta))
[1] TRUE

In general, it is recommended not to use spaces or special characters when labelling markers or cells.

Build SingleCellExperiment object

As you can imagine, it would be a bit annoying to handle three different objects side-by-side. That’s why we can store everything in one single container: the SingleCellExperiment object.

library(SingleCellExperiment)
Loading required package: SummarizedExperiment
Loading required package: GenomicRanges
Loading required package: stats4
Loading required package: BiocGenerics
Loading required package: parallel

Attaching package: ‘BiocGenerics’

The following objects are masked from ‘package:parallel’:

    clusterApply, clusterApplyLB, clusterCall, clusterEvalQ, clusterExport, clusterMap, parApply, parCapply, parLapply,
    parLapplyLB, parRapply, parSapply, parSapplyLB

The following objects are masked from ‘package:stats’:

    IQR, mad, sd, var, xtabs

The following objects are masked from ‘package:base’:

    anyDuplicated, append, as.data.frame, basename, cbind, colnames, dirname, do.call, duplicated, eval, evalq, Filter,
    Find, get, grep, grepl, intersect, is.unsorted, lapply, Map, mapply, match, mget, order, paste, pmax, pmax.int,
    pmin, pmin.int, Position, rank, rbind, Reduce, rownames, sapply, setdiff, sort, table, tapply, union, unique,
    unsplit, which, which.max, which.min

Loading required package: S4Vectors

Attaching package: ‘S4Vectors’

The following object is masked from ‘package:base’:

    expand.grid

Loading required package: IRanges
Loading required package: GenomeInfoDb
Loading required package: Biobase
Welcome to Bioconductor

    Vignettes contain introductory material; view with 'browseVignettes()'. To cite Bioconductor, see
    'citation("Biobase")', and for packages 'citation("pkgname")'.

Loading required package: DelayedArray
Loading required package: matrixStats

Attaching package: ‘matrixStats’

The following objects are masked from ‘package:Biobase’:

    anyMissing, rowMedians

Loading required package: BiocParallel

Attaching package: ‘DelayedArray’

The following objects are masked from ‘package:matrixStats’:

    colMaxs, colMins, colRanges, rowMaxs, rowMins, rowRanges

The following objects are masked from ‘package:base’:

    aperm, apply, rowsum
sce <- SingleCellExperiment(assays = list(counts = t(pancreas_counts)), colData = cell_meta)
sce
class: SingleCellExperiment 
dim: 38 12274 
metadata(0):
assays(1): counts
rownames(38): H3 SMA ... Ir191 Ir193
rowData names(0):
colnames(12274): E34_1 E34_2 ... J02_4952 J02_4953
colData names(21): slide id ... Age Gender
reducedDimNames(0):
spikeNames(0):
altExpNames(0):
colnames(sce)
   [1] "E34_1"    "E34_2"    "E34_3"    "E34_4"    "E34_5"    "E34_6"    "E34_7"    "E34_8"    "E34_9"    "E34_10"   "E34_11"  
  [12] "E34_12"   "E34_13"   "E34_14"   "E34_15"   "E34_16"   "E34_17"   "E34_18"   "E34_19"   "E34_20"   "E34_21"   "E34_22"  
  [23] "E34_23"   "E34_24"   "E34_25"   "E34_26"   "E34_27"   "E34_28"   "E34_29"   "E34_30"   "E34_31"   "E34_32"   "E34_33"  
  [34] "E34_34"   "E34_35"   "E34_36"   "E34_37"   "E34_38"   "E34_39"   "E34_40"   "E34_41"   "E34_42"   "E34_43"   "E34_44"  
  [45] "E34_45"   "E34_46"   "E34_47"   "E34_48"   "E34_49"   "E34_50"   "E34_51"   "E34_52"   "E34_53"   "E34_54"   "E34_55"  
  [56] "E34_56"   "E34_57"   "E34_58"   "E34_59"   "E34_60"   "E34_61"   "E34_62"   "E34_63"   "E34_64"   "E34_65"   "E34_66"  
  [67] "E34_67"   "E34_68"   "E34_69"   "E34_70"   "E34_71"   "E34_72"   "E34_73"   "E34_74"   "E34_75"   "E34_76"   "E34_77"  
  [78] "E34_78"   "E34_79"   "E34_80"   "E34_81"   "E34_82"   "E34_83"   "E34_84"   "E34_85"   "E34_86"   "E34_87"   "E34_88"  
  [89] "E34_89"   "E34_90"   "E34_91"   "E34_92"   "E34_93"   "E34_94"   "E34_95"   "E34_96"   "E34_97"   "E34_98"   "E34_99"  
 [100] "E34_100"  "E34_101"  "E34_102"  "E34_103"  "E34_104"  "E34_105"  "E34_106"  "E34_107"  "E34_108"  "E34_109"  "E34_110" 
 [111] "E34_111"  "E34_112"  "E34_113"  "E34_114"  "E34_115"  "E34_116"  "E34_117"  "E34_118"  "E34_119"  "E34_120"  "E34_121" 
 [122] "E34_122"  "E34_123"  "E34_124"  "E34_125"  "E34_126"  "E34_127"  "E34_128"  "E34_129"  "E34_130"  "E34_131"  "E34_132" 
 [133] "E34_133"  "E34_134"  "E34_135"  "E34_136"  "E34_137"  "E34_138"  "E34_139"  "E34_140"  "E34_141"  "E34_142"  "E34_143" 
 [144] "E34_144"  "E34_145"  "E34_146"  "E34_147"  "E34_148"  "E34_149"  "E34_150"  "E34_151"  "E34_152"  "E34_153"  "E34_154" 
 [155] "E34_155"  "E34_156"  "E34_157"  "E34_158"  "E34_159"  "E34_160"  "E34_161"  "E34_162"  "E34_163"  "E34_164"  "E34_165" 
 [166] "E34_166"  "E34_167"  "E34_168"  "E34_169"  "E34_170"  "E34_171"  "E34_172"  "E34_173"  "E34_174"  "E34_175"  "E34_176" 
 [177] "E34_177"  "E34_178"  "E34_179"  "E34_180"  "E34_181"  "E34_182"  "E34_183"  "E34_184"  "E34_185"  "E34_186"  "E34_187" 
 [188] "E34_188"  "E34_189"  "E34_190"  "E34_191"  "E34_192"  "E34_193"  "E34_194"  "E34_195"  "E34_196"  "E34_197"  "E34_198" 
 [199] "E34_199"  "E34_200"  "E34_201"  "E34_202"  "E34_203"  "E34_204"  "E34_205"  "E34_206"  "E34_207"  "E34_208"  "E34_209" 
 [210] "E34_210"  "E34_211"  "E34_212"  "E34_213"  "E34_214"  "E34_215"  "E34_216"  "E34_217"  "E34_218"  "E34_219"  "E34_220" 
 [221] "E34_221"  "E34_222"  "E34_223"  "E34_224"  "E34_225"  "E34_226"  "E34_227"  "E34_228"  "E34_229"  "E34_230"  "E34_231" 
 [232] "E34_232"  "E34_233"  "E34_234"  "E34_235"  "E34_236"  "E34_237"  "E34_238"  "E34_239"  "E34_240"  "E34_241"  "E34_242" 
 [243] "E34_243"  "E34_244"  "E34_245"  "E34_246"  "E34_247"  "E34_248"  "E34_249"  "E34_250"  "E34_251"  "E34_252"  "E34_253" 
 [254] "E34_254"  "E34_255"  "E34_256"  "E34_257"  "E34_258"  "E34_259"  "E34_260"  "E34_261"  "E34_262"  "E34_263"  "E34_264" 
 [265] "E34_265"  "E34_266"  "E34_267"  "E34_268"  "E34_269"  "E34_270"  "E34_271"  "E34_272"  "E34_273"  "E34_274"  "E34_275" 
 [276] "E34_276"  "E34_277"  "E34_278"  "E34_279"  "E34_280"  "E34_281"  "E34_282"  "E34_283"  "E34_284"  "E34_285"  "E34_286" 
 [287] "E34_287"  "E34_288"  "E34_289"  "E34_290"  "E34_291"  "E34_292"  "E34_293"  "E34_294"  "E34_295"  "E34_296"  "E34_297" 
 [298] "E34_298"  "E34_299"  "E34_300"  "E34_301"  "E34_302"  "E34_303"  "E34_304"  "E34_305"  "E34_306"  "E34_307"  "E34_308" 
 [309] "E34_309"  "E34_310"  "E34_311"  "E34_312"  "E34_313"  "E34_314"  "E34_315"  "E34_316"  "E34_317"  "E34_318"  "E34_319" 
 [320] "E34_320"  "E34_321"  "E34_322"  "E34_323"  "E34_324"  "E34_325"  "E34_326"  "E34_327"  "E34_328"  "E34_329"  "E34_330" 
 [331] "E34_331"  "E34_332"  "E34_333"  "E34_334"  "E34_335"  "E34_336"  "E34_337"  "E34_338"  "E34_339"  "E34_340"  "E34_341" 
 [342] "E34_342"  "E34_343"  "E34_344"  "E34_345"  "E34_346"  "E34_347"  "E34_348"  "E34_349"  "E34_350"  "E34_351"  "E34_352" 
 [353] "E34_353"  "E34_354"  "E34_355"  "E34_356"  "E34_357"  "E34_358"  "E34_359"  "E34_360"  "E34_361"  "E34_362"  "E34_363" 
 [364] "E34_364"  "E34_365"  "E34_366"  "E34_367"  "E34_368"  "E34_369"  "E34_370"  "E34_371"  "E34_372"  "E34_373"  "E34_374" 
 [375] "E34_375"  "E34_376"  "E34_377"  "E34_378"  "E34_379"  "E34_380"  "E34_381"  "E34_382"  "E34_383"  "E34_384"  "E34_385" 
 [386] "E34_386"  "E34_387"  "E34_388"  "E34_389"  "E34_390"  "E34_391"  "E34_392"  "E34_393"  "E34_394"  "E34_395"  "E34_396" 
 [397] "E34_397"  "E34_398"  "E34_399"  "E34_400"  "E34_401"  "E34_402"  "E34_403"  "E34_404"  "E34_405"  "E34_406"  "E34_407" 
 [408] "E34_408"  "E34_409"  "E34_410"  "E34_411"  "E34_412"  "E34_413"  "E34_414"  "E34_415"  "E34_416"  "E34_417"  "E34_418" 
 [419] "E34_419"  "E34_420"  "E34_421"  "E34_422"  "E34_423"  "E34_424"  "E34_425"  "E34_426"  "E34_427"  "E34_428"  "E34_429" 
 [430] "E34_430"  "E34_431"  "E34_432"  "E34_433"  "E34_434"  "E34_435"  "E34_436"  "E34_437"  "E34_438"  "E34_439"  "E34_440" 
 [441] "E34_441"  "E34_442"  "E34_443"  "E34_444"  "E34_445"  "E34_446"  "E34_447"  "E34_448"  "E34_449"  "E34_450"  "E34_451" 
 [452] "E34_452"  "E34_453"  "E34_454"  "E34_455"  "E34_456"  "E34_457"  "E34_458"  "E34_459"  "E34_460"  "E34_461"  "E34_462" 
 [463] "E34_463"  "E34_464"  "E34_465"  "E34_466"  "E34_467"  "E34_468"  "E34_469"  "E34_470"  "E34_471"  "E34_472"  "E34_473" 
 [474] "E34_474"  "E34_475"  "E34_476"  "E34_477"  "E34_478"  "E34_479"  "E34_480"  "E34_481"  "E34_482"  "E34_483"  "E34_484" 
 [485] "E34_485"  "E34_486"  "E34_487"  "E34_488"  "E34_489"  "E34_490"  "E34_491"  "E34_492"  "E34_493"  "E34_494"  "E34_495" 
 [496] "E34_496"  "E34_497"  "E34_498"  "E34_499"  "E34_500"  "E34_501"  "E34_502"  "E34_503"  "E34_504"  "E34_505"  "E34_506" 
 [507] "E34_507"  "E34_508"  "E34_509"  "E34_510"  "E34_511"  "E34_512"  "E34_513"  "E34_514"  "E34_515"  "E34_516"  "E34_517" 
 [518] "E34_518"  "E34_519"  "E34_520"  "E34_521"  "E34_522"  "E34_523"  "E34_524"  "E34_525"  "E34_526"  "E34_527"  "E34_528" 
 [529] "E34_529"  "E34_530"  "E34_531"  "E34_532"  "E34_533"  "E34_534"  "E34_535"  "E34_536"  "E34_537"  "E34_538"  "E34_539" 
 [540] "E34_540"  "E34_541"  "E34_542"  "E34_543"  "E34_544"  "E34_545"  "E34_546"  "E34_547"  "E34_548"  "E34_549"  "E34_550" 
 [551] "E34_551"  "E34_552"  "E34_553"  "E34_554"  "E34_555"  "E34_556"  "E34_557"  "E34_558"  "E34_559"  "E34_560"  "E34_561" 
 [562] "E34_562"  "E34_563"  "E34_564"  "E34_565"  "E34_566"  "E34_567"  "E34_568"  "E34_569"  "E34_570"  "E34_571"  "E34_572" 
 [573] "E34_573"  "E34_574"  "E34_575"  "E34_576"  "E34_577"  "E34_578"  "E34_579"  "E34_580"  "E34_581"  "E34_582"  "E34_583" 
 [584] "E34_584"  "E34_585"  "E34_586"  "E34_587"  "E34_588"  "E34_589"  "E34_590"  "E34_591"  "E34_592"  "E34_593"  "E34_594" 
 [595] "E34_595"  "E34_596"  "E34_597"  "E34_598"  "E34_599"  "E34_600"  "E34_601"  "E34_602"  "E34_603"  "E34_604"  "E34_605" 
 [606] "E34_606"  "E34_607"  "E34_608"  "E34_609"  "E34_610"  "E34_611"  "E34_612"  "E34_613"  "E34_614"  "E34_615"  "E34_616" 
 [617] "E34_617"  "E34_618"  "E34_619"  "E34_620"  "E34_621"  "E34_622"  "E34_623"  "E34_624"  "E34_625"  "E34_626"  "E34_627" 
 [628] "E34_628"  "E34_629"  "E34_630"  "E34_631"  "E34_632"  "E34_633"  "E34_634"  "E34_635"  "E34_636"  "E34_637"  "E34_638" 
 [639] "E34_639"  "E34_640"  "E34_641"  "E34_642"  "E34_643"  "E34_644"  "E34_645"  "E34_646"  "E34_647"  "E34_648"  "E34_649" 
 [650] "E34_650"  "E34_651"  "E34_652"  "E34_653"  "E34_654"  "E34_655"  "E34_656"  "E34_657"  "E34_658"  "E34_659"  "E34_660" 
 [661] "E34_661"  "E34_662"  "E34_663"  "E34_664"  "E34_665"  "E34_666"  "E34_667"  "E34_668"  "E34_669"  "E34_670"  "E34_671" 
 [672] "E34_672"  "E34_673"  "E34_674"  "E34_675"  "E34_676"  "E34_677"  "E34_678"  "E34_679"  "E34_680"  "E34_681"  "E34_682" 
 [683] "E34_683"  "E34_684"  "E34_685"  "E34_686"  "E34_687"  "E34_688"  "E34_689"  "E34_690"  "E34_691"  "E34_692"  "E34_693" 
 [694] "E34_694"  "E34_695"  "E34_696"  "E34_697"  "E34_698"  "E34_699"  "E34_700"  "E34_701"  "E34_702"  "E34_703"  "E34_704" 
 [705] "E34_705"  "E34_706"  "E34_707"  "E34_708"  "E34_709"  "E34_710"  "E34_711"  "E34_712"  "E34_713"  "E34_714"  "E34_715" 
 [716] "E34_716"  "E34_717"  "E34_718"  "E34_719"  "E34_720"  "E34_721"  "E34_722"  "E34_723"  "E34_724"  "E34_725"  "E34_726" 
 [727] "E34_727"  "E34_728"  "E34_729"  "E34_730"  "E34_731"  "E34_732"  "E34_733"  "E34_734"  "E34_735"  "E34_736"  "E34_737" 
 [738] "E34_738"  "E34_739"  "E34_740"  "E34_741"  "E34_742"  "E34_743"  "E34_744"  "E34_745"  "E34_746"  "E34_747"  "E34_748" 
 [749] "E34_749"  "E34_750"  "E34_751"  "E34_752"  "E34_753"  "E34_754"  "E34_755"  "E34_756"  "E34_757"  "E34_758"  "E34_759" 
 [760] "E34_760"  "E34_761"  "E34_762"  "E34_763"  "E34_764"  "E34_765"  "E34_766"  "E34_767"  "E34_768"  "E34_769"  "E34_770" 
 [771] "E34_771"  "E34_772"  "E34_773"  "E34_774"  "E34_775"  "E34_776"  "E34_777"  "E34_778"  "E34_779"  "E34_780"  "E34_781" 
 [782] "E34_782"  "E34_783"  "E34_784"  "E34_785"  "E34_786"  "E34_787"  "E34_788"  "E34_789"  "E34_790"  "E34_791"  "E34_792" 
 [793] "E34_793"  "E34_794"  "E34_795"  "E34_796"  "E34_797"  "E34_798"  "E34_799"  "E34_800"  "E34_801"  "E34_802"  "E34_803" 
 [804] "E34_804"  "E34_805"  "E34_806"  "E34_807"  "E34_808"  "E34_809"  "E34_810"  "E34_811"  "E34_812"  "E34_813"  "E34_814" 
 [815] "E34_815"  "E34_816"  "E34_817"  "E34_818"  "E34_819"  "E34_820"  "E34_821"  "E34_822"  "E34_823"  "E34_824"  "E34_825" 
 [826] "E34_826"  "E34_827"  "E34_828"  "E34_829"  "E34_830"  "E34_831"  "E34_832"  "E34_833"  "E34_834"  "E34_835"  "E34_836" 
 [837] "E34_837"  "E34_838"  "E34_839"  "E34_840"  "E34_841"  "E34_842"  "E34_843"  "E34_844"  "E34_845"  "E34_846"  "E34_847" 
 [848] "E34_848"  "E34_849"  "E34_850"  "E34_851"  "E34_852"  "E34_853"  "E34_854"  "E34_855"  "E34_856"  "E34_857"  "E34_858" 
 [859] "E34_859"  "E34_860"  "E34_861"  "E34_862"  "E34_863"  "E34_864"  "E34_865"  "E34_866"  "E34_867"  "E34_868"  "E34_869" 
 [870] "E34_870"  "E34_871"  "E34_872"  "E34_873"  "E34_874"  "E34_875"  "E34_876"  "E34_877"  "E34_878"  "E34_879"  "E34_880" 
 [881] "E34_881"  "E34_882"  "E34_883"  "E34_884"  "E34_885"  "E34_886"  "E34_887"  "E34_888"  "E34_889"  "E34_890"  "E34_891" 
 [892] "E34_892"  "E34_893"  "E34_894"  "E34_895"  "E34_896"  "E34_897"  "E34_898"  "E34_899"  "E34_900"  "E34_901"  "E34_902" 
 [903] "E34_903"  "E34_904"  "E34_905"  "E34_906"  "E34_907"  "E34_908"  "E34_909"  "E34_910"  "E34_911"  "E34_912"  "E34_913" 
 [914] "E34_914"  "E34_915"  "E34_916"  "E34_917"  "E34_918"  "E34_919"  "E34_920"  "E34_921"  "E34_922"  "E34_923"  "E34_924" 
 [925] "E34_925"  "E34_926"  "E34_927"  "E34_928"  "E34_929"  "E34_930"  "E34_931"  "E34_932"  "E34_933"  "E34_934"  "E34_935" 
 [936] "E34_936"  "E34_937"  "E34_938"  "E34_939"  "E34_940"  "E34_941"  "E34_942"  "E34_943"  "E34_944"  "E34_945"  "E34_946" 
 [947] "E34_947"  "E34_948"  "E34_949"  "E34_950"  "E34_951"  "E34_952"  "E34_953"  "E34_954"  "E34_955"  "E34_956"  "E34_957" 
 [958] "E34_958"  "E34_959"  "E34_960"  "E34_961"  "E34_962"  "E34_963"  "E34_964"  "E34_965"  "E34_966"  "E34_967"  "E34_968" 
 [969] "E34_969"  "E34_970"  "E34_971"  "E34_972"  "E34_973"  "E34_974"  "E34_975"  "E34_976"  "E34_977"  "E34_978"  "E34_979" 
 [980] "E34_980"  "E34_981"  "E34_982"  "E34_983"  "E34_984"  "E34_985"  "E34_986"  "E34_987"  "E34_988"  "E34_989"  "E34_990" 
 [991] "E34_991"  "E34_992"  "E34_993"  "E34_994"  "E34_995"  "E34_996"  "E34_997"  "E34_998"  "E34_999"  "E34_1000"
 [ reached getOption("max.print") -- omitted 11274 entries ]
rownames(sce)
 [1] "H3"     "SMA"    "INS"    "CD38"   "CD44"   "PCSK2"  "CD99"   "CD68"   "MPO"    "SLC2A1" "CD20"   "AMY2A"  "CD3e"   "PPY"   
[15] "PIN"    "PD-1"   "GCG"    "PDX1"   "SST"    "SYP"    "KRT19"  "CD45"   "FOXP3"  "CD45RA" "CD8a"   "CA9"    "IAPP"   "KI-67" 
[29] "NKX6-1" "pH3"    "CD4"    "CD31"   "CDH"    "PTPRN"  "pRB"    "cPARP1" "Ir191"  "Ir193" 
dim(sce)
[1]    38 12274
ncol(sce)
[1] 12274
nrow(sce)
[1] 38

The SingleCellExperiment stores cells in the columns and markers in rows.

We can now also store the cell- and marker-specific metadata in the SCE object. These need to be DataFrame objects - a Bioconductor-specific class similar to tibble, data.table and data.frame.

library(S4Vectors)
colData(sce) <- DataFrame(cell_meta)
rowData(sce) <- DataFrame(marker_meta)

sce
class: SingleCellExperiment 
dim: 38 12274 
metadata(0):
assays(1): counts
rownames(38): H3 SMA ... Ir191 Ir193
rowData names(3): channel metal target
colnames(12274): E34_1 E34_2 ... J02_4952 J02_4953
colData names(21): slide id ... Age Gender
reducedDimNames(0):
spikeNames(0):
altExpNames(0):

We have now successfully created a SingleCellExperiment!

Add other assays

We have now stored the raw counts in the SCE object.

assays(sce)
List of length 1
names(1): counts
assayNames(sce)
[1] "counts"
dim(counts(sce))
[1]    38 12274

For dimensionality reduction and clustering, it is often preferred to work with distributions that are normal-like. We can now also store transformed and scaled counts in the same object:

assay(sce, "exprs") <- asinh(counts(sce) / 1)
assay(sce, "scaled") <- t( scale( t( assay(sce, "exprs") ) ) )

rowMeans(assay(sce, "scaled"))
           H3           SMA           INS          CD38          CD44         PCSK2          CD99          CD68           MPO 
 3.363427e-16  7.002946e-17 -1.186238e-16 -6.976842e-17  2.113397e-17 -1.480132e-16  9.103553e-17 -8.606244e-17  4.342104e-17 
       SLC2A1          CD20         AMY2A          CD3e           PPY           PIN          PD-1           GCG          PDX1 
 2.648344e-17  1.572091e-17 -5.637823e-17  8.435231e-17 -5.061530e-18  1.653266e-17  6.106187e-17 -3.024530e-20 -5.356386e-17 
          SST           SYP         KRT19          CD45         FOXP3        CD45RA          CD8a           CA9          IAPP 
 8.549202e-17  1.113822e-16  3.183247e-18  3.826115e-17  3.707431e-17  9.184282e-17 -5.701918e-17  3.716639e-18 -2.751022e-17 
        KI-67        NKX6-1           pH3           CD4          CD31           CDH         PTPRN           pRB        cPARP1 
 2.973509e-17  6.585052e-17 -1.116108e-17 -1.119980e-16 -8.595206e-17  3.263600e-17 -1.060735e-16 -1.961115e-17 -1.344628e-16 
        Ir191         Ir193 
 7.201491e-18 -9.470510e-17 
rowVars(assay(sce, "scaled"))
 [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Dimensionality reduction

In this section, we will learn how to perform common dimensionality reduction methods using the scater package. We will start by peforming a principal component analysis. For this, we can use the runPCA function provided by the scater package.

library(scater)
sce <- runPCA(sce, exprs_values = "exprs", ncomponents = 10, subset_row = !(rownames(sce) %in% c("H3", "Ir191", "Ir193")))
reducedDims(sce)$PCA

We can also compute a TSNE using the runTSNE function. Of note: you need to set a seed for reproducibility. Also, the default perplexity value for the runTSNE function is the number of cells divided by 5. This is far larger than the default value for Rtsne, which is 30 but should preserve the overall structure better. However, it is recommended setting different seeds and different perplexity parameters to check the effect of those on the visual appearance of the TSNE.

set.seed(12345)
sce <- runTSNE(sce, exprs_values = "exprs", subset_row = !(rownames(sce) %in% c("H3", "Ir191", "Ir193")))

reducedDims(sce)
List of length 2
names(2): PCA TSNE

Finally, we can also compute a UMAP:

set.seed(12345)
sce <- runUMAP(sce, exprs_values = "exprs", subset_row = !grepl("H3|Ir", rownames(sce)))

reducedDims(sce)
List of length 3
names(3): PCA TSNE UMAP

Again, you need to play around with the seed and the n_neighbors and the min_dist parameter to see how this affects the visual appearance. In general, the non-linear dimensionality reduction methods (tSNE, UMAP) only offer a visual tool and should not be used for clustering.

Visualization

The scater package offers a number of functions to visualize the SingleCellExperiment object.

The plotExpression function plots expression values stored in the SingleCellExperiment object:

plotExpression(sce, features = c("PIN", "CDH"), exprs_values = "exprs", other_fields = "ImageNumber") +
    facet_wrap(~ImageNumber)

plotExpression(sce, features = c("PIN", "CDH"), x = "CellType", exprs_values = "exprs", 
               colour_by = "CellType") + theme(axis.text.x = element_text(angle = 45, hjust = 1))

plotExpression(sce, features = "CDH", x = "PIN", exprs_values = "exprs", 
               colour_by = "CellType") + theme(axis.text.x = element_text(angle = 45, hjust = 1))

The plotHeatmap function provides a wrapper function to pheatmap to visualize expression counts.

library(viridis)
Loading required package: viridisLite
plotHeatmap(sce, features = c("CDH", "PIN"), exprs_values = "exprs", colour_columns_by = "CellType")


plotHeatmap(sce, features = c("CDH", "PIN"), exprs_values = "exprs", 
            colour_columns_by = "CellType", columns = which(sce$CellType == "beta"))

The plotReducedDims function allows you to plot the different dimensionality reduced embeddings:

plotReducedDim(sce, "TSNE", colour_by = "CellType")

plotReducedDim(sce, "TSNE", colour_by = "case")

plotReducedDim(sce, "TSNE", colour_by = "PIN", by_exprs_values = "exprs")

plotReducedDim(sce, "TSNE", colour_by = "PIN", by_exprs_values = "exprs", shape_by = "case") +
    scale_shape_manual(values = c(16, 16, 16))


plotReducedDim(sce, "UMAP", colour_by = "CellType")

plotReducedDim(sce, "UMAP", colour_by = "case")

plotReducedDim(sce, "UMAP", colour_by = "PIN", by_exprs_values = "exprs")


plotReducedDim(sce, "PCA", colour_by = "CellType")

plotReducedDim(sce, "PCA", colour_by = "case")

plotReducedDim(sce, "PCA", colour_by = "PIN", by_exprs_values = "exprs")

The good thing is that the returned plots are ggplot2 objects and can be further altered.

Clustering

Graph-based clustering methods are preferred due to higher speed (https://osca.bioconductor.org/clustering.html)[https://osca.bioconductor.org/clustering.html]. But there are a few considerations:

We will first use scran to build a shared-nearest neighbour graph and perform community detection using the louvain method.

library(scran)
cur_graph <- scran::buildSNNGraph(sce, k = 10, assay.type = "exprs", 
                                  subset.row = !(rownames(sce) %in% c("H3", "Ir191", "Ir193")))
cur_clusters <- igraph::cluster_louvain(cur_graph)$membership
table(cur_clusters)
cur_clusters
   1    2    3    4    5    6    7    8    9   10   11 
 669 1138  242 1291 1378  635 1871 1481 1635  158 1776 
# Store clusters in sce object
sce$snn_clusters <- factor(cur_clusters)

# TSNE and umap visualization
plotReducedDim(sce, "TSNE", colour_by = "snn_clusters")

plotReducedDim(sce, "UMAP", colour_by = "snn_clusters")

Next, we will use the Rphenograph package for clustering. Rphenograph is also graph-based but weights edges between two nodes based on the jaccard similarity between the two sets of neighbors. In general, this approach produces finer clusters. When using approx=TRUE, you need to set a seed.

# Compare overlap between clusters
table(sce$snn_clusters, sce$rphenograph_clusters)
    
        1    2    3    4    5    6    7    8    9   10   11   12   13   14   15   16   17   18
  1   630    4    0    0    0    0    0    3    2    0    2    6    0    1    0    1    0   20
  2    49    0    0    0    1    0    0    2    6    0   32  805    0    0    0    6    0  237
  3     2  235    0    0    0    0    0    0    2    0    0    1    0    2    0    0    0    0
  4    19    0    0    0    0    0    0    0    5    2   74    3    0   20    0   21    0 1147
  5     0    0    0    0 1324    0    0    0    0    0    0    0    0   48    1    0    5    0
  6     0    0   78    1    0  459    0    0    0    0    0    0   20    0    0    1   76    0
  7     2    0    0    0   16    0    0   18    6   18 1525    0    0    7    2    2    2  273
  8     0    1   36  395    0    8  181    0    2    0    1    0    0    0    0  855    2    0
  9    21    2    0    0    2    0   32  460  633  384    3   80    0    3    0    1    0   14
  10    0    0    0    0    0    0    0    0    5    1    0    0    0    0  152    0    0    0
  11    9    1    0    0   23    0    0    0    0    1    1    1    0 1717    0    0   12   11

Finally, I will also show the use-case of the flowSOM function for clustering. This is provided by the CATALYST package. However, the SingleCellExperiment object needs to be slightly altered to make it compatible with CATALYST. By default, flowSOM will use the assay(sce, "exprs") slot.

Summarizing the counts

Finally, we can average the counts per cluster (or any other entry to colData(sce)).

---
title: "Session 4: Bioconductor and the SingleCellExperiment"
author: "Nils"
date: "`r Sys.Date()`"
output: html_notebook
---

In this session, I will give an introduction to `Bioconductor` and how to perform single-cell analysis using `Bioconductor` packages.
This session introduces the concept of "object-oriented" programming - or at least how to understand it in R.
We will use the `SingleCellExperiment` class object as an example - however the skills learned in this session can be easily applied to other high-dimensional data analysis tasks.
The `SingleCellExperiment` class is a so called `S4` class object and the prefered object type in Bioconductor.
Check out [https://adv-r.hadley.nz/oo.html](https://adv-r.hadley.nz/oo.html) for in depth explanations on opbject-oriented programming in R.

Why do we want to use the `SingleCellExperiment` object?

* It allows consistent sub-setting of cells and markers without breaking the connection between expression counts and metadata
* It allows efficient on-disk storing in form of `.rds` files
* Everything is in one place
* By now, more than 70 packages provide functions to alter the `SingleCellExperiment` object - you don't need to implement functions yourself

## Bioconductor

Bioconductor provides tools for the analysis and comprehension of high-throughput genomic data. Bioconductor uses the R statistical programming language, and is open source and open development. It has two releases each year, and an active user community.

Check out the [https://bioconductor.org/](https://bioconductor.org/) website.

Bioconductor version 3.10 offers 1823 [software packages](https://bioconductor.org/packages/release/BiocViews.html#___Software), 957 [Annotation packages](https://www.bioconductor.org/packages/release/BiocViews.html#___AnnotationData), 385 [ExperimentData packages](https://www.bioconductor.org/packages/release/BiocViews.html#___ExperimentData) and 27 [Workflows](https://www.bioconductor.org/packages/release/BiocViews.html#___Workflow).

Bioconductor packages can be conveniently installed using `BiocManager`:

```{r BiocManager}
#install.packages("BiocManager")
#BiocManager::install("SingleCellExperiment")

# Should be '3.10'
BiocManager::version()

# Should be true
BiocManager::valid()
```

I prefer using the `BiocManager::install` since it checks if there are outdated packages - important to include bug fixes.
The `BiocManager::install` function also allows you to install CRAN and Github packages.

```{r BiocManager-2}
#BiocManager::install("igraph")
#BiocManager::install("BodenmillerGroup/Rphenograph")
```

Bioconductor packages are released twice a year - once in April/May, once in October.
Unless you are developing Bioconductor packages, you won't need to use Bioconductor devel.
But here are more information: [Bioc devel](https://www.bioconductor.org/developers/how-to/useDevel/)

## The `SingleCellExperiment` class

Here, I will use the `SingleCellExperiment` class object as an example for object-oriented data analysis in R.
Other widely used objects are [SummarizedExperiment](https://www.bioconductor.org/packages/release/bioc/html/SummarizedExperiment.html) containers, from which the `SingleCellExperiment` class inherits. 

To work with the object, I will mostly follow the [Orchestrating Single-Cell Analysis with Bioconductor](https://osca.bioconductor.org/) workflow, an excellent resource to do single-cell data analysis in R using Bioconductor.

**Of note:** The workflow was written for single-cell RNA sequencing data and some concepts (e.g. normalization) do not apply to CyTOF data analysis.

Here, we will start with the [data analysis infrastructure](https://osca.bioconductor.org/data-infrastructure.html) section of the OSCA workflow.

### Read in data

We will first read in the data that we want to analyse.
For convenience, I stored the raw expression counts (mean pixel intensity per cell) in one .csv file, the marker-specific metadata in one .csv file and the cell-specific metadata in one .csv file.

```{r read-in-data}
# Read in counts
pancreas_counts <- read.csv("~/Github/IntroDataAnalysis/Data/pancreas_counts.csv", 
                            stringsAsFactors = FALSE, row.names = 1)
head(pancreas_counts)
dim(pancreas_counts)

# Read in cell metadata
cell_meta <- read.csv("~/Github/IntroDataAnalysis/Data/pancreas_cellmeta.csv", 
                      stringsAsFactors = FALSE, row.names = 1)
head(cell_meta)

# Read in marker metadata
marker_meta <- read.csv("~/Github/IntroDataAnalysis/Data/pancreas_markermeta.csv", 
                      stringsAsFactors = FALSE, row.names = 1)
head(marker_meta)
```

In most cases, it is safe to compare the order of rows and columns:

```{r check-ordering}
identical(rownames(pancreas_counts), rownames(cell_meta))
identical(colnames(pancreas_counts), rownames(marker_meta))

# Check why the colnames and rownames don't match
colnames(pancreas_counts)
rownames(marker_meta)

# Fix colnames
colnames(pancreas_counts) <- gsub("\\.", "-", colnames(pancreas_counts))
identical(colnames(pancreas_counts), rownames(marker_meta))
```

In general, it is recommended not to use spaces or special characters when labelling markers or cells.

### Build `SingleCellExperiment` object

As you can imagine, it would be a bit annoying to handle three different objects side-by-side.
That's why we can store everything in one single container: the `SingleCellExperiment` object.

```{r SingleCellExperiment}
library(SingleCellExperiment)

sce <- SingleCellExperiment(assays = list(counts = t(pancreas_counts)), colData = cell_meta)
sce

colnames(sce)
rownames(sce)

dim(sce)
ncol(sce)
nrow(sce)
```

The `SingleCellExperiment` stores cells in the columns and markers in rows.

We can now also store the cell- and marker-specific metadata in the SCE object.
These need to be `DataFrame` objects - a Bioconductor-specific class similar to `tibble`, `data.table` and `data.frame`.

```{r SingleCellExperiment-2}
library(S4Vectors)
colData(sce) <- DataFrame(cell_meta)
rowData(sce) <- DataFrame(marker_meta)

sce
```

We have now successfully created a `SingleCellExperiment`!

### Add other assays

We have now stored the raw counts in the SCE object.

```{r assay-1}
assays(sce)
assayNames(sce)
dim(counts(sce))
```

For dimensionality reduction and clustering, it is often preferred to work with distributions that are normal-like.
We can now also store transformed and scaled counts in the same object:

```{r transformation}
assay(sce, "exprs") <- asinh(counts(sce) / 1)
assay(sce, "scaled") <- t( scale( t( assay(sce, "exprs") ) ) )

rowMeans(assay(sce, "scaled"))
rowVars(assay(sce, "scaled"))
```

## Dimensionality reduction

In this section, we will learn how to perform common dimensionality reduction methods using the `scater` package.
We will start by peforming a principal component analysis.
For this, we can use the `runPCA` function provided by the `scater` package.

```{r PCA}
library(scater)
sce <- runPCA(sce, exprs_values = "exprs", ncomponents = 10, subset_row = !(rownames(sce) %in% c("H3", "Ir191", "Ir193")))
reducedDims(sce)$PCA
```

We can also compute a TSNE using the `runTSNE` function. 
Of note: you need to set a seed for reproducibility.
Also, the default `perplexity` value for the `runTSNE` function is the number of cells divided by 5.
This is far larger than the default value for `Rtsne`, which is 30 but should preserve the overall structure better.
However, it is recommended setting different seeds and different `perplexity` parameters to check the effect of those on the visual appearance of the TSNE.

```{r TSNE}
set.seed(12345)
sce <- runTSNE(sce, exprs_values = "exprs", subset_row = !(rownames(sce) %in% c("H3", "Ir191", "Ir193")))

reducedDims(sce)
```

Finally, we can also compute a UMAP:

```{r umap}
set.seed(12345)
sce <- runUMAP(sce, exprs_values = "exprs", subset_row = !grepl("H3|Ir", rownames(sce)))

reducedDims(sce)
```

Again, you need to play around with the seed and the `n_neighbors` and the `min_dist` parameter to see how this affects the visual appearance.
In general, the non-linear dimensionality reduction methods (tSNE, UMAP) only offer a visual tool and should not be used for clustering.

## Visualization

The scater package offers a number of functions to visualize the `SingleCellExperiment` object.

The `plotExpression` function plots expression values stored in the `SingleCellExperiment` object:

```{r plotExpression}
plotExpression(sce, features = c("PIN", "CDH"), exprs_values = "exprs", other_fields = "ImageNumber") +
    facet_wrap(~ImageNumber)

plotExpression(sce, features = c("PIN", "CDH"), x = "CellType", exprs_values = "exprs", 
               colour_by = "CellType") + theme(axis.text.x = element_text(angle = 45, hjust = 1))

plotExpression(sce, features = "CDH", x = "PIN", exprs_values = "exprs", 
               colour_by = "CellType") + theme(axis.text.x = element_text(angle = 45, hjust = 1))
```

The `plotHeatmap` function provides a wrapper function to `pheatmap` to visualize expression counts.

```{r plotHeatmap}
library(viridis)
plotHeatmap(sce, features = c("CDH", "PIN"), exprs_values = "exprs", colour_columns_by = "CellType")

plotHeatmap(sce, features = c("CDH", "PIN"), exprs_values = "exprs", 
            colour_columns_by = "CellType", columns = which(sce$CellType == "beta"))
```

The `plotReducedDims` function allows you to plot the different dimensionality reduced embeddings:

```{r plotReducedDims}
plotReducedDim(sce, "TSNE", colour_by = "CellType")
plotReducedDim(sce, "TSNE", colour_by = "case")
plotReducedDim(sce, "TSNE", colour_by = "PIN", by_exprs_values = "exprs")
plotReducedDim(sce, "TSNE", colour_by = "PIN", by_exprs_values = "exprs", shape_by = "case") +
    scale_shape_manual(values = c(16, 16, 16))

plotReducedDim(sce, "UMAP", colour_by = "CellType")
plotReducedDim(sce, "UMAP", colour_by = "case")
plotReducedDim(sce, "UMAP", colour_by = "PIN", by_exprs_values = "exprs")

plotReducedDim(sce, "PCA", colour_by = "CellType")
plotReducedDim(sce, "PCA", colour_by = "case")
plotReducedDim(sce, "PCA", colour_by = "PIN", by_exprs_values = "exprs")
```

The good thing is that the returned plots are `ggplot2` objects and can be further altered.

## Clustering

Graph-based clustering methods are preferred due to higher speed (https://osca.bioconductor.org/clustering.html)[https://osca.bioconductor.org/clustering.html].
But there are a few considerations:

* How many neighbors are considered when constructing the graph.
* What scheme is used to weight the edges.
* Which community detection algorithm is used to define the clusters.

We will first use `scran` to build a shared-nearest neighbour graph and perform community detection using the louvain method.

```{r snn}
library(scran)
cur_graph <- scran::buildSNNGraph(sce, k = 10, assay.type = "exprs", 
                                  subset.row = !(rownames(sce) %in% c("H3", "Ir191", "Ir193")))
cur_clusters <- igraph::cluster_louvain(cur_graph)$membership
table(cur_clusters)

# Store clusters in sce object
sce$snn_clusters <- factor(cur_clusters)

# TSNE and umap visualization
plotReducedDim(sce, "TSNE", colour_by = "snn_clusters")
plotReducedDim(sce, "UMAP", colour_by = "snn_clusters")
```

Next, we will use the `Rphenograph` package for clustering.
`Rphenograph` is also graph-based but weights edges between two nodes based on the jaccard similarity between the two sets of neighbors.
In general, this approach produces finer clusters.
When using `approx=TRUE`, you need to set a seed.

```{r Rphenograph}
library(Rphenograph)
cur_graph <- Rphenograph(t(assay(sce, "exprs")[!(rownames(sce) %in% c("H3", "Ir191", "Ir193")),]), k = 30)
cur_clusters <- igraph::membership(cur_graph[[2]])

# Store clusters in sce object
sce$rphenograph_clusters <- factor(cur_clusters)

# TSNE and umap visualization
plotReducedDim(sce, "TSNE", colour_by = "rphenograph_clusters")
plotReducedDim(sce, "TSNE", colour_by = "rphenograph_clusters", text_by = "rphenograph_clusters")
plotReducedDim(sce, "UMAP", colour_by = "rphenograph_clusters")

# Compare overlap between clusters
table(sce$snn_clusters, sce$rphenograph_clusters)
```

Finally, I will also show the use-case of the `flowSOM` function for clustering.
This is provided by the `CATALYST` package.
However, the `SingleCellExperiment` object needs to be slightly altered to make it compatible with `CATALYST`.
By default, `flowSOM` will use the `assay(sce, "exprs")` slot.

```{r flowSOM}
library(CATALYST)

# Select features for clustering
cur_features <- rownames(sce)[!(rownames(sce) %in% c("H3", "Ir191", "Ir193"))]

# We need to set a marker_class
rowData(sce)$marker_class <- "type"

# Cluster using flowSOM 
sce <- cluster(sce, features = cur_features, xdim = 10, ydim = 10, maxK = 20, seed = 12345)

rowData(sce)
colData(sce)

# Scater methods no longer support visualization of cluster results
plotReducedDim(sce, "TSNE", colour_by = "cluster_id")

# Use CATALYST specific functions
colData(sce)$sample_id <- colData(sce)$case
metadata(sce)$experiment_info <- data.frame(sample_id = unique(colData(sce)$case))
CATALYST::plotDR(sce, dr = "TSNE", color_by = "meta8")
```

## Summarizing the counts

Finally, we can average the counts per cluster (or any other entry to `colData(sce)`).

```{r}
cur_average <- scater::aggregateAcrossCells(sce, ids = sce$snn_clusters, 
                                            use_exprs_values = "counts", 
                                            average = TRUE, subset_row = cur_features)
assay(cur_average, "exprs") <- asinh(assay(cur_average, "counts") / 1)
plotHeatmap(cur_average, exprs_values = "exprs", 
            colour_columns_by = "snn_clusters")
```
